Question

Given P(A) = 0.4, P(B) = 0.58 and P(A|B) = 0.5, find the value of

P(A and B), rounding to the nearest thousandth, if necessary.

Answer 1

By definition of conditional probability,

P(A | B) = P(A and B) / P(B)

so

P(A and B) = P(A | B) P(B) = 0.5 × 0.58 = 0.29